Alfred Martin

2021-12-29

How do you change 2.9 into a fraction?

otoplilp1

$2.9$ is two and nine tenths.
$2.9=2\frac{9}{10}$ as a mixed fraction.
As an improper fraction it would be:
$2\frac{9}{10}=\frac{10×2+9}{10}=\frac{29}{10}$

Beverly Smith

You can take any number, such as 2.9, and write a 1 as the denominator to make it a fraction and keep the same value, like this:
$\frac{2.9}{1}$
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 2.9, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 10 to get the following fraction:
$\frac{29}{10}$
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 29 and 10 is 1. When we divide the numerator and denominator by 1, we get the following:
$\frac{29}{10}$
Therefore, 2.9 as a fraction is as follows:
$\frac{29}{10}$
Bonus: If the answer above is an improper fraction, then we also display the mixed number answer below:
$2\frac{9}{10}$

Vasquez

Step 1: Write down the number as a fraction of one:
$2.9=\frac{2.9}{1}$
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
$\frac{2.9}{1}=\frac{\left(2.9×10\right)}{\left(1×10\right)}=\frac{29}{10}$
(This fraction is alread reduced, We can't reduce it any further).
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express
it as a MIXED NUMBER, thus $\frac{29}{10}$ is also equal to $2\frac{9}{10}$
when expressed as a mixed number.

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